An implicit asynchronous variational integrator for flexible multibody dynamics
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Publication:2096893
DOI10.1016/j.cma.2022.115660OpenAlexW4306362657MaRDI QIDQ2096893
Qiang Tian, Ju Chen, Shuaizhen Gu
Publication date: 11 November 2022
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2022.115660
flexible multibody dynamicslumped mass matrixclearance jointsasynchronous variational integratornon-matching elements
Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
- Unnamed Item
- The domain interface method: a general-purpose non-intrusive technique for non-conforming domain decomposition problems
- Asynchronous variational integration using continuous assumed gradient elements
- Parallel computation approaches for flexible multibody dynamics simulations
- The FETI family of domain decomposition methods for inequality-constrained quadratic programming: application to contact problems with conforming and nonconforming interfaces
- Dynamics of a large scale rigid-flexible multibody system composed of composite laminated plates
- The quaternion-based three-dimensional beam theory
- Asynchronous multi-domain variational integrators for nonlinear hyperelastic solids
- Asynchronous variational contact mechanics
- Efficient evaluation of the elastic forces and the Jacobian in the absolute nodal coordinate formulation
- Integrable discrete-time systems and difference operators
- Stability of asynchronous variational integrators
- Study on sub-cycling algorithm for flexible multi-body system---integral theory and implementation flow chart
- Mixed methods for time integration
- A numerical scheme to couple subdomains with different time-steps for predominantly linear transient analysis
- Asynchronous variational integrators
- Generalization of plate finite elements for absolute nodal coordinate formulation
- Interface element method: treatment of non-matching nodes at the ends of interfaces between partitioned domains.
- Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures.
- Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems
- A mortar segment-to-segment contact method for large deformation solid mechanics.
- Multigrid on the interface for mortar mixed finite element methods for elliptic problems
- The domain interface method in non-conforming domain decomposition multifield problems
- A coupling technique for non-matching finite element meshes
- Mechanical integrators derived from a discrete variational principle
- Critical assessment of different mass lumping schemes for higher order serendipity finite elements
- A polytree based coupling method for non-matching meshes in 3D
- A high-precision co-rotational formulation of 3D beam elements for dynamic analysis of flexible multibody systems
- Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry
- Integration of localized surface geometry in fully parameterized ANCF finite elements
- A rigorous and unified mass lumping scheme for higher-order elements
- Model order reduction for dynamic simulation of a flexible multibody system via absolute nodal coordinate formulation
- Lumped mass matrix in explicit finite element method for transient dynamics of elasticity
- Analysis of thin beams and cables using the absolute nodal co-ordinate formulation
- Dynamic analysis of membrane systems undergoing overall motions, large deformations and wrinkles via thin shell elements of ANCF
- Convergence of the generalized-\(\alpha\) scheme for constrained mechanical systems
- An improved interface element with variable nodes for non-matching finite element meshes
- Domain decomposition approach to flexible multibody dynamics simulation
- Multi-time-step explicit-implicit method for non-linear structural dynamics
- An explicit asynchronous contact algorithm for elastic body-rigid wall interaction
- Asynchronous collision integrators: Explicit treatment of unilateral contact with friction and nodal restraints
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- Variational time integrators
- A new dual mortar method for curved interfaces: 2D elasticity
- Discrete mechanics and variational integrators
- Explicit-explicit subcycling with non-integer time step ratios for structural dynamic systems
- Parallel asynchronous variational integrators
- Convergence of asynchronous variational integrators in linear elastodynamics
- Asynchronous multi-domain variational integrators for non-linear problems
- The three-field formulation for elasticity problems
- Component mode synthesis with constant mass and stiffness matrices applied to flexible multibody systems
- Implicit-Explicit Variational Integration of Highly Oscillatory Problems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A 3D mortar method for solid mechanics
- A variational principle for the formulation of partitioned structural systems
- A simple algorithm for localized construction of non-matching structural interfaces
- Computational Continuum Mechanics
- An approach to the connection between subdomains with non-matching meshes for transient mechanical analysis
- Non‐conforming mesh gluing in the finite elements method
- Dynamics of Multibody Systems
- Variational integrators for constrained dynamical systems
- A FETI‐based multi‐time‐step coupling method for Newmark schemes in structural dynamics
- Partitioned formulation of internal fluid-structure interaction problems by localized Lagrange multipliers
- Stability of an explicit multi-time step integration algorithm for linear structural dynamics equations
